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Finding the Third Proportional to 334,278 and 715,212

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Solution

The third proportional to 334,278 and 715,212 is: 1,530,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,278 : 715,212 = 715,212 : x
  2. Step 2: Convert to fraction form
    334,278/715,212 = 715,212/x
  3. Step 3: Cross multiply
    334,278x = 715,212 × 715,212
  4. Step 4: Simplify right side
    334,278x = 511,528,204,944
  5. Step 5: Solve for x
    x = 511,528,204,944/334,278
  6. Step 6: Final answer
    x = 1,530,247.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.